If you open a copy of Rigid Frame Formulas , you will see a series of diagrams labeled by "Case" numbers. To use them, you follow these steps:
Adolf Kleinlogel’s seminal work from the 1920s to 1950s provides extensive, pre-calculated formulas for analyzing rigid frames and complex beam systems, offering a fast alternative to manual derivation for statically indeterminate structures. His methods remain highly useful for preliminary design and back-of-the-envelope checks to verify modern Finite Element Analysis results. Access a detailed 31-page guide to his formulas via Amazon.com Beam Formulas. - Amazon.com
Using Kleinlogel formulas is not about memorizing equations but about efficient lookup and combination. Here is the typical workflow of a structural engineer using a Kleinlogel manual:
For a cantilever beam with a point load at the free end, the Kleinlogel beam formula for deflection (δ) is: